A singular semilinear problem with dependence on the gradient

A singular semilinear problem with dependence on the gradient
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DOI:
10.1016/j.jde.2015.10.031
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发表时间:
2016-02-15
影响因子:
2.4
通讯作者:
Puglisi, Daniele
Puglisi, Daniele
中科院分区:
数学2区
文献类型:
--
作者:
Faraci, Francesca;Puglisi, Daniele

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In the present paper we study the problem of finding classical and weak solutions for a semilinear elliptic equation involving a singular term and a nonlinearity depending on the gradient. The approach we follow, based on a suitable combination of sub-supersolutions techniques and fixed point theory, is not quite the same in the two cases and requires different kind of assumptions. (C) 2015 Elsevier Inc. All rights reserved.